Answer:
Alyssa buys 4 cups of frozen fruit puree and 2 cups of yogurt.
Step-by-step explanation:
Here, x = Represent cups of frozen fruit puree
y = Represent cups of yogurt.
The given system of equations by Marni are:
x + y = 6,
2x + 3y = 14
After first step of elimination,the equations are:
-2x - 2y = -12
2x + 3y = 14
Now, ADD BOTH THE EQUATIONS to eliminate the variable x:
-2x - 2y + (2x + 3y) = -12 + 14
or, y = 2
Now, put y =2 in x + y =6, we get
x = 6 - y = 6 -2 = 4
So, x = 4 and y = 2 is the solution of the given system.
Hence, Alyssa buys 4 cups of frozen fruit puree and She buys 2 cups of yogurt.
